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Finding the Fourth Proportional to 110,354, 165,563.64 and 63,640.40

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Solution

The fourth proportional to 110,354, 165,563.64 and 63,640.40 is: 95,479.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,354 : 165,563.64 = 63,640.40 : x
  2. Step 2: Convert to fraction form
    110,354/165,563.64 = 63,640.40/x
  3. Step 3: Cross multiply
    110,354x = 165,563.64 × 63,640.40
  4. Step 4: Simplify right side
    110,354x = 10,536,536,275.06
  5. Step 5: Solve for x
    x = 10,536,536,275.06/110,354
  6. Step 6: Final answer
    x = 95,479.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.